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24 April 2024
 
  » arxiv » cond-mat/0605503

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Entropy-induced separation of star polymers in porous media
V. Blavats’ka ; C. von Ferber ; Yu. Holovatch ;
Date 20 May 2006
Subject Soft Condensed Matter
AbstractWe present a quantitative picture of the separation of star polymers in a solution where part of the volume is influenced by a porous medium. To this end, we study the impact of long-range-correlated quenched disorder on the entropy and scaling properties of $f$-arm star polymers in a good solvent. We assume that the disorder is correlated on the polymer length scale with a power-law decay of the pair correlation function $g(r) sim r^{-a}$. Applying the field-theoretical renormalization group approach we show in a double expansion in $epsilon=4-d$ and $delta=4-a$ that there is a range of correlation strengths $delta$ for which the disorder changes the scaling behavior of star polymers. In a second approach we calculate for fixed space dimension $d=3$ and different values of the correlation parameter $a$ the corresponding scaling exponents $gamma_f$ that govern entropic effects. We find that $gamma_f-1$, the deviation of $gamma_f$ from its mean field value is amplified by the disorder once we increase $delta$ beyond a threshold. The consequences for a solution of diluted chain and star polymers of equal molecular weight inside a porous medium are: star polymers exert a higher osmotic pressure than chain polymers and in general higher branched star polymers are expelled more strongly from the correlated porous medium. Surprisingly, polymer chains will prefer a stronger correlated medium to a less or uncorrelated medium of the same density while the opposite is the case for star polymers.
Source arXiv, cond-mat/0605503
Other source [GID 706690] pmid17025657
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